One of the outer corners of a right-angled triangle is 135 degrees. find the sharp corners of this triangle.

We know from the condition that a triangle is rectangular, that is, one of its corners is a straight line (equal to 90 °).

We also know the angle at one of the vertices of the triangle and it is equal to 135 °.

The angle of the triangle and the outside angle of 135 ° are adjacent angles. We know that the sum of adjacent angles is 180 °.

We look for the angle of the triangle as:

180 ° – 135 ° = 45 °.

The angles of a triangle add up to 180 °. We know two angles, so it’s easy to find the third one:

180 ° – (90 ° + 45 °) = 180 ° – 135 ° = 45 °.

Answer: 45 °, 45 °.